Nodal Analysis

3. The attempt at a solution
I assumed there to be two supernodes. The first one was between V1 and V2. The second supernode was between V2 and V3.
This is what i tried and i am not getting the right answers. Please can someone help me out! Apologies for the turned pictures. The actual answers are V1 =7.608v , V2 =-17.39v , V3 = 1.6305v

Staff: Mentor

When you create a supernode you must consider all currents that enter and leave that supernode. In your first node equation you have ignored the current that must leave it via the 5i source branch. And there you have a problem because its a branch with a voltage source and no resistance.

Rather than defining two supernodes, which leads to the above issue, be sure to include in any supernode ALL of the nodes that are directly connected via voltage sources. If you can follow a path to a node that traverses only voltage sources, then it's part of the same supernode.

You will probably find the resulting node equation to be easier to solve :)